Which of the following is a correct partial-fraction decomposition of ?

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Which of the following is a correct partial-fraction decomposition of 7x−1x(x+3)\displaystyle \frac{7x-1}{x(x+3)}? (a) 13x+203(x+3)\dfrac{1}{3x}+\dfrac{20}{3(x+3)} (b) 223x−13(x+3)\dfrac{22}{3x}-\dfrac{1}{3(x+3)} (c) −13x+223(x+3)-\dfrac{1}{3x}+\dfrac{22}{3(x+3)} (d) 7x−1x+3\dfrac{7}{x}-\dfrac{1}{x+3}

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